Brian McLogan
How do we add and subtract rational expressions
Learn how to add/subtract rational expressions with monomials in the denominator. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator...
Brian McLogan
Taking derivative by applying product rule of two polynomials
π Learn how to find the derivative of a function using the product rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...
Brian McLogan
Given a list of zeros, learn how to write the equation of a polynomial
π Learn how to write the equation of a polynomial when given rational zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The...
Brian McLogan
Learn how to evaluate a limit by factoring
π Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...
Curated Video
Subtracting Polynomials: Using Signed Number Operations and Combining Like Terms
In this lesson, students will learn how to subtract polynomials by combining like terms and using the rules of signed number operations. They will understand the importance of lining up terms by degree and subtracting each term...
Brian McLogan
Transfering from logarithmic form to exponential
π Learn how to convert logarithmic equations to exponential equations. The logarithm of a number in a given base is the index/exponent to which the base must be raised to obtain the given number. In other words, log [base a] of x = m...
Brian McLogan
Evaluate the limit of a quadratic function by observing the graph
π Learn how to evaluate the limit of a function involving polynomials. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a...
Curated Video
Sketching Higher Order Polynomials and Identifying Disguised Quadratics
The video is a lecture presentation on sketching higher order polynomials. The presenter begins by recapping the general trends for even and odd powered graphs. Then, they introduce a general strategy for sketching any higher order...
Brian McLogan
How to use the Remainder Theorem with Polynomials
How to use the Remainder Theorem with Polynomials
Brian McLogan
How to classify polynomials
π Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different interger exponents of the same variable. A polynomial can be classified in two ways: by the number of terms...
Brian McLogan
Determining if a function is a polynomial or not then determine degree and LC
π Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a...
Brian McLogan
Find the Multiplicity and Zeros of a Polynomial when It is in Factored Form
π Learn how to find all the zeros of a factored polynomial. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the...
Let's Tute
Division of Line Segment
In this video we will study Division of Line Segment. We will cover topics such has Dividing 2 numbers, Division algorithm, and Dividing Polynomials
Brian McLogan
Find the equation of the line give a point and a slope using slope intercept
π Learn how to write the equation of a line in a point-slope form. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms which we can...
Brian McLogan
How to Use the Distributive Property to Multiply Binomials - Polynomials
π Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the...
Brian McLogan
Learn how to write a exponential equation written as a logarithmic equation
π Learn how to convert exponential equations to logarithmic equations. The logarithm of a number in a given base is the index/exponent to which the base must be raised to obtain the given number. In other words, log [base a] of x = m...
Brian McLogan
Rewrite a exponential equation in logarithmic
π Learn how to convert exponential equations to logarithmic equations. The logarithm of a number in a given base is the index/exponent to which the base must be raised to obtain the given number. In other words, log [base a] of x = m...
Brian McLogan
Multiplying Polynomials by Using the Distributive Property
π Learn how to multiply polynomials. We apply the distributive property to polynomials by multiplying a monomial to every term in a polynomial. When multiplying monomials it is important that we multiply the coefficients and apply the...
Brian McLogan
What is the definition of a monomial and polynomials with examples
π Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms we will focus on monomials, binomials, and trinomials, whereas...
Brian McLogan
When a is Greater Than One Factor the Polynomial
πLearn how to factor quadratics when the coefficient of the term with a squared variable is not 1. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. To...
Brian McLogan
How to Determine If a Polynomial is Even or Odd Algebraically
π Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical...
Curated Video
Subtracting Polynomials with Negative Coefficients
In this video, the teacher explains how to subtract polynomials with negative coefficients by using various operations. They demonstrate the process of subtracting negative numbers and applying the distributive property to simplify the...
Brian McLogan
Learn how to subtract polynomials
π Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you...
Brian McLogan
How to change the subtraction of two polynomials to addition
π Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you...